A particle covers 20m in 5th sec and 35m in 7th sec find its initial velocity and acceleration
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s(t = 0 to n) = u n + 1/2 a n²
s (t = 0 to n+1) = u n + u + 1/2 a (n^2+ 2 n + 1)
distance travelled during n th second = u + a (n +1/2)
now: u + a (5+1/2) = 20 m
u + a (7 +1/2) = 35 m
solving these: a = 7.5 m/s^2 u = - 21.25 m/s
s (t = 0 to n+1) = u n + u + 1/2 a (n^2+ 2 n + 1)
distance travelled during n th second = u + a (n +1/2)
now: u + a (5+1/2) = 20 m
u + a (7 +1/2) = 35 m
solving these: a = 7.5 m/s^2 u = - 21.25 m/s
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